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10397747961 = 3217191383929
BaseRepresentation
bin10011010111100000…
…10000101011111001
3222211122012022202100
421223300100223321
5132243310413321
64435431454013
7515444253666
oct115360205371
928748168670
1010397747961
114456291a37
122022227309
13c992209b3
14708cdca6d
1540cc79326
hex26bc10af9

10397747961 has 48 divisors (see below), whose sum is σ = 16044687360. Its totient is φ = 6466007040.

The previous prime is 10397747959. The next prime is 10397748001. The reversal of 10397747961 is 16974779301.

10397747961 is a `hidden beast` number, since 10 + 39 + 77 + 479 + 61 = 666.

10397747961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10397747961 - 21 = 10397747959 is a prime.

It is a super-2 number, since 2×103977479612 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10397747898 and 10397747907.

It is not an unprimeable number, because it can be changed into a prime (10397747911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11191945 + ... + 11192873.

It is an arithmetic number, because the mean of its divisors is an integer number (334264320).

Almost surely, 210397747961 is an apocalyptic number.

It is an amenable number.

10397747961 is a deficient number, since it is larger than the sum of its proper divisors (5646939399).

10397747961 is a wasteful number, since it uses less digits than its factorization.

10397747961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 10397747961 in words is "ten billion, three hundred ninety-seven million, seven hundred forty-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 191 383 573 929 1149 1719 2787 3247 3447 6511 8361 9741 15793 19533 29223 47379 58599 73153 142137 177439 219459 355807 532317 658377 1067421 1243601 1596951 3016463 3202263 3730803 6048719 9049389 11192409 18146157 27148167 54438471 67959137 203877411 611632233 1155305329 3465915987 10397747961